Answer:
4.1 sec
Step-by-step explanation:
h(t)=-3.2t^2+12.8t+1
h(t)=-3.2(t^2-4t)+1
h(t)=-3.2(t^2-4t+4-4)+1
h(t)=13.8-3.2(t-2)^2
For the ball to touch ground, h(t)=0.
13.8-3.2(t-2)^2=0
(t-2)=2.0766
t=4.07≈4.1 sec.
The first option :
Multiply the first equation by 8 and the second equation by 2
would not result in the elimination of the variables in this system
$1.64 per gallon
she paid $23.78
23.78÷1.64
She paid for <span>14.5 gallons
To check:
1.64 * 14.5 </span>
<span>23.78
Hope this helps </span>
Here the base angle given is 51°.
The side opposite to 51° is y
The hypotenuse is given as 12.
The trigonometric ratio associating opposite & hypotenuse is sin
We know sin = Opposite/ Hypotenuse
Substituting the values of angle , opposite & hypotenuse
We have
y/12 = sin 51°
Multiplying both sides by 12 we get
y=12 × sin 51°
y = 9.326
Rounding to the nearest hundredths we get
y = 9.33